Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83104d |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-7254610052032 = -1 · 26 · 79 · 532 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3871,-90552] |
[a1,a2,a3,a4,a6] |
Generators |
[113309:38141404:1] |
Generators of the group modulo torsion |
j |
851971392/963487 |
j-invariant |
L |
7.499988867501 |
L(r)(E,1)/r! |
Ω |
0.40125541083317 |
Real period |
R |
9.3456544918753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83104c1 11872c1 |
Quadratic twists by: -4 -7 |